Bmi Hypothesis Test
1. **State the problem:** You want to determine if the BMI scores at your college are significantly different from the general population, given your null hypothesis $H_0$: The BMI scores at this college are the same as the general population.
2. **Understand the hypothesis test:** The null hypothesis $H_0$ assumes no difference between the college BMI scores and the general population.
3. **Use the p-value:** Your answer of 0.0217 is the p-value, which measures the probability of observing your data (or something more extreme) assuming $H_0$ is true.
4. **Decision rule:** Choose a significance level $\alpha$ (commonly 0.05).
- If $p \leq \alpha$, reject $H_0$ (evidence suggests BMI scores differ).
- If $p > \alpha$, fail to reject $H_0$ (not enough evidence to say BMI scores differ).
5. **Apply to your p-value:** Since $0.0217 < 0.05$, you reject $H_0$.
6. **Conclusion:** There is statistically significant evidence that the BMI scores at your college are different from the general population.
This method helps you decide if your observed BMI scores are higher, lower, or just different from the general population based on the p-value and chosen significance level.